jamesegrant14
jamesegrant14 jamesegrant14
  • 23-05-2018
  • Mathematics
contestada

Can someone help me please?

Write the equation for finding the nth term of the sequence. 18, 14, 10

Respuesta :

frika
frika frika
  • 29-05-2018
Let's denote three first terms of given arithmetic sequence  [tex] a_{1} =18 \\ a_{2}=14 \\ a_{3}=10[/tex] (each next term differs from the previous by -4), then the common difference [tex]d=a_{2}-a_{1}=14-18=-4[/tex].
The formula for the [tex] n^{th} [/tex] term of an arithmetic sequence is [tex] a_{n} =a_{1}+(n-1)d[/tex] and in your case [tex] a_{n} =18+(n-1)(-4)=18-4n+4=22-4n[/tex].

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